Bibliography

Major publications by the team in recent years

• 1C. Bernardin, P. Gonçalves, M. Jara, M. Simon.
  Interpolation process between standard diffusion and fractional diffusion, August 2017, to appear in AIHP B.
  https://hal.archives-ouvertes.fr/hal-01348503
• 2C. ´. Bernardin, P. Gonçalves, M. Jara, M. Simon.
  Nonlinear Perturbation of a Noisy Hamiltonian Lattice Field Model: Universality Persistence, August 2017, working paper or preprint.
  https://hal.archives-ouvertes.fr/hal-01491433

Publications of the year

Doctoral Dissertations and Habilitation Theses

• 3G. Dujardin.
  Contribution à l'analyse numérique de problèmes d'évolution : comportements asymptotiques et applications à l'équation de Schrödinger, Universite de Lille, November 2018, Habilitation à diriger des recherches.
  https://hal.archives-ouvertes.fr/tel-01950160

Articles in International Peer-Reviewed Journals

• 4C. Beltrán, A. Hardy.
  Energy of the Coulomb Gas on the Sphere at Low Temperature, in: Archive for Rational Mechanics and Analysis, October 2018. [ DOI : 10.1007/s00205-018-1316-3 ]
  https://hal.archives-ouvertes.fr/hal-01890125
• 5C. Bernardin, P. Gonçalves, M. Jara, M. Simon.
  Interpolation process between standard diffusion and fractional diffusion, in: Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques, 2018.
  https://hal.archives-ouvertes.fr/hal-01348503
• 6C. Bernardin, P. Gonçalves, M. Jara, M. Simon.
  Nonlinear Perturbation of a Noisy Hamiltonian Lattice Field Model: Universality Persistence, in: Communications in Mathematical Physics, 2018.
  https://hal.archives-ouvertes.fr/hal-01491433
• 7D. Chafai, A. Hardy, M. Maïda.
  Concentration for Coulomb gases and Coulomb transport inequalities, in: Journal of Functional Analysis, September 2018, vol. 275, n^o 16, pp. 1447-1483, https://arxiv.org/abs/1610.00980. [ DOI : 10.1016/j.jfa.2018.06.004 ]
  https://hal.archives-ouvertes.fr/hal-01374624
• 8S. De Bièvre, T. Goudon, A. Vavasseur.
  Stability analysis of a Vlasov-Wave system describing particles interacting with their environment, in: Journal of Differential Equations, June 2018, vol. 264, n^o 12, pp. 7069-7093.
  https://hal.inria.fr/hal-01581676
• 9S. De Bièvre, S. Rota Nodari.
  Orbital stability via the energy-momentum method: the case of higher dimensional symmetry groups, in: Archive for Rational Mechanics and Analysis, 2018, https://arxiv.org/abs/1605.02523. [ DOI : 10.1007/s00205-018-1278-5 ]
  https://hal.archives-ouvertes.fr/hal-01312534
• 10A. De Laire, P. Gravejat.
  The Sine-Gordon regime of the Landau-Lifshitz equation with a strong easy-plane anisotropy, in: Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire, November 2018, vol. 35, n^o 7, pp. 1885-1945.
  https://hal.archives-ouvertes.fr/hal-01518483
• 11A. Hardy.
  Polynomial Ensembles and Recurrence Coefficients, in: Constructive Approximation, August 2018, vol. 48, n^o 1, pp. 137 - 162. [ DOI : 10.1007/s00365-017-9413-3 ]
  https://hal.archives-ouvertes.fr/hal-01890050
• 12T. Komorowski, S. Olla, M. Simon.
  Macroscopic evolution of mechanical and thermal energy in a harmonic chain with random flip of velocities, in: Kinetic and Related Models , 2018, vol. 11, n^o 3, pp. 615-645.
  https://hal.archives-ouvertes.fr/hal-01358979

Other Publications

• 13R. Bardenet, A. Hardy.
  Time-frequency transforms of white noises and Gaussian analytic functions, August 2018, working paper or preprint.
  https://hal.archives-ouvertes.fr/hal-01855678
• 14C. Besse, S. Descombes, G. Dujardin, I. Lacroix-Violet.
  Energy preserving methods for nonlinear schrodinger equations, December 2018, working paper or preprint.
  https://hal.archives-ouvertes.fr/hal-01951527
• 15O. Blondel, C. Cancès, M. Sasada, M. Simon.
  Convergence of a Degenerate Microscopic Dynamics to the Porous Medium Equation, April 2018, working paper or preprint.
  https://hal.archives-ouvertes.fr/hal-01710628
• 16O. Blondel, C. Erignoux, M. Sasada, M. Simon.
  Hydrodynamic limit for an activated exclusion process, May 2018, working paper or preprint.
  https://hal.archives-ouvertes.fr/hal-01798051
• 17S. De Bièvre, D. B. Horoshko, G. Patera, M. I. Kolobov.
  Measuring nonclassicality of bosonic field quantum states via operator ordering sensitivity, August 2018, Preprint.
  https://hal.archives-ouvertes.fr/hal-01865597
• 18A. De Laire, P. Gravejat.
  The cubic Schrödinger regime of the Landau-Lifshitz equation with a strong easy-axis anisotropy, December 2018, https://arxiv.org/abs/1812.05854 - working paper or preprint.
  https://hal.archives-ouvertes.fr/hal-01954762
• 19A. De Laire, S. Gutiérrez.
  The Cauchy problem for the Landau-Lifshitz-Gilbert equation in BMO and self-similar solutions, December 2018, working paper or preprint.
  https://hal.archives-ouvertes.fr/hal-01948679
• 20A. De Laire, P. Mennuni.
  Traveling waves for some nonlocal 1D Gross-Pitaevskii equations with nonzero conditions at infinity, December 2018, working paper or preprint.
  https://hal.archives-ouvertes.fr/hal-01962779
• 21D. Dereudre, A. Hardy, T. Leblé, M. Maïda.
  DLR equations and rigidity for the Sine-beta process, December 2018, working paper or preprint.
  https://hal.archives-ouvertes.fr/hal-01954367
• 22G. Dujardin, F. Hérau, P. Lafitte-Godillon.
  Coercivity, hypocoercivity, exponential time decay and simulations for discrete Fokker- Planck equations, February 2018, working paper or preprint.
  https://hal.archives-ouvertes.fr/hal-01702545
• 23W. Hachem, A. Hardy, S. Shamai.
  Mutual Information of Wireless Channels and Block-Jacobi Ergodic Operators, December 2018, working paper or preprint.
  https://hal.archives-ouvertes.fr/hal-01954454

References in notes

• 24G. Basile, C. Bernardin, S. Olla.
  Thermal conductivity for a momentum conservative model, in: Comm. Math. Phys., 2009, vol. 287, n^o 1, pp. 67–98.
  http://dx.doi.org/10.1007/s00220-008-0662-7
• 25I. Bejenaru, A. D. Ionescu, C. E. Kenig, D. Tataru.
  Global Schrödinger maps in dimensions $d\ge 2$: small data in the critical Sobolev spaces, in: Annals of Mathematics, 2011, pp. 1443–1506.
• 26P. Gonçalves, C. Landim, C. Toninelli.
  Hydrodynamic limit for a particle system with degenerate rates, in: Ann. Inst. Henri Poincaré Probab. Stat., 2009, vol. 45, n^o 4, pp. 887–909.
  https://doi.org/10.1214/09-AIHP210
• 27J. Gravner, J. Quastel.
  Internal DLA and the Stefan problem, in: Ann. Probab., 2000, vol. 28, n^o 4, pp. 1528–1562.
  https://doi.org/10.1214/aop/1019160497
• 28R. L. Jerrard, D. Smets.
  On Schrödinger maps from $T^1$ to $S^2$, in: Ann. Sci. ENS, 2012, vol. 45, pp. 637-680.
• 29C. Landim, G. Valle.
  A microscopic model for Stefan's melting and freezing problem, in: Ann. Probab., 2006, vol. 34, n^o 2, pp. 779–803.
  https://doi.org/10.1214/009117905000000701
• 30M. Rossi, R. Pastor-Satorras, A. Vespignani.
  Universality Class of Absorbing Phase Transitions with a Conserved Field, in: Phys. Rev. Lett., 2000, vol. 85, n^o 1803.
• 31H. Spohn.
  Nonlinear Fluctuating Hydrodynamics for Anharmonic Chains, in: Journal of Statistical Physics, Mar 2014, vol. 154, n^o 5, pp. 1191–1227.
  https://doi.org/10.1007/s10955-014-0933-y
• 32H. Spohn.
  The Kardar-Parisi-Zhang equation – a statistical physics perspective, in: Arxiv preprint 1601.00499, 01 2016.
• 33D. Wei.
  Micromagnetics and Recording Materials, Springer–Verlag Berlin Heidelberg, 2012, http://dx.doi.org/10.1007/978-3-642-28577-6.
  https://doi.org/10.1007/978-3-642-28577-6
• 34S. Zhang, A. A. Baker, S. Komineas, T. Hesjedal.
  Topological computation based on direct magnetic logic communication, in: Scientific Reports, 2015, vol. 5.
  http://dx.doi.org/10.1038/srep15773